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On Complete Convergence for Arrays of Random Elements and Variables
Authors:
V
ctor Hern
ndez a;
Henar Urmeneta b;
Andrei Volodin c
ctor Hernndez a;
Henar Urmeneta b;
Andrei Volodin c
| Affiliations: | a Departamento de Estadstica e Investigaci n Operativa, de la Universidad Nacional de Educacin a Distancia, Madrid, Spain |
b Departamento de Estadstica e Investigacin Operativa, de la Universidad P blica de Navarra, Pamplona, Spain |
|
| c Department of Mathematics and Statistics, University of Regina, Regina, Saskatchewan, Canada |
DOI:
10.1080/07362990601139461
Publication Frequency:
6 issues per year
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Abstract
We obtain complete convergence results for arrays of row-wise independent Banach space valued random elements. The main result deals with two cases that usually are considered separately: when no assumptions are made concerning the geometry of the underlying Banach space and when the Banach space is of Rademacher type p.
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| Keywords: Array of Banach space valued random elements; Complete conver-gence; Convergence in probability; Domination conditions; Normed partial sums; Row-wise independence; Type p Banach space |
| AMS Classification: 60B12; 60F05; 60F25; 60G42 |
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